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Finding the Fourth Proportional to 57,000, 78,660 and 31,849.50

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Solution

The fourth proportional to 57,000, 78,660 and 31,849.50 is: 43,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,000 : 78,660 = 31,849.50 : x
  2. Step 2: Convert to fraction form
    57,000/78,660 = 31,849.50/x
  3. Step 3: Cross multiply
    57,000x = 78,660 × 31,849.50
  4. Step 4: Simplify right side
    57,000x = 2,505,281,670
  5. Step 5: Solve for x
    x = 2,505,281,670/57,000
  6. Step 6: Final answer
    x = 43,952.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.